Book contents
- Frontmatter
- Contents
- Introduction
- 1 Symbols and oscillatory integrals
- 2 The method of stationary phase
- 3 Pseudodifferential operators
- 4 Application to elliptic operators and L2 continuity
- 5 Local symplectic geometry I (Hamilton–Jacobi theory)
- 6 The strictly hyperbolic Cauchy problem — construction of a parametrix
- 7 The wavefront set (singular spectrum) of a distribution
- 8 Propagation of singularities for operators of real principle type
- 9 Local symplectic geometry II
- 10 Canonical transformations of pseudodifferential operators
- 11 Global theory of Fourier integral operators
- 12 Spectral theory for elliptic operators
- Bibliography
- Index of notations
- Index of terminology
1 - Symbols and oscillatory integrals
Published online by Cambridge University Press: 05 October 2013
Book contents
- Frontmatter
- Contents
- Introduction
- 1 Symbols and oscillatory integrals
- 2 The method of stationary phase
- 3 Pseudodifferential operators
- 4 Application to elliptic operators and L2 continuity
- 5 Local symplectic geometry I (Hamilton–Jacobi theory)
- 6 The strictly hyperbolic Cauchy problem — construction of a parametrix
- 7 The wavefront set (singular spectrum) of a distribution
- 8 Propagation of singularities for operators of real principle type
- 9 Local symplectic geometry II
- 10 Canonical transformations of pseudodifferential operators
- 11 Global theory of Fourier integral operators
- 12 Spectral theory for elliptic operators
- Bibliography
- Index of notations
- Index of terminology
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- Microlocal Analysis for Differential OperatorsAn Introduction, pp. 5 - 18Publisher: Cambridge University PressPrint publication year: 1994